Hyperfine Structure of ${}_{}{}^{67}{}_{}{}^{}\mathrm{Ga}$ and ${}_{}{}^{72}{}_{}{}^{}\mathrm{Ga}$

We have used the atomic-beam magnetic-resonance technique to measure the hyperfine-structure separations and the differential hyperfine-structure anomalies of 78-hour ${}_{}{}^{67}{}_{}{}^{}\mathrm{Ga}$ and 14-hour ${}_{}{}^{72}{}_{}{}^{}\mathrm{Ga}$ in the ${}_{}{}^2{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}$ and ${}_{}{}^2{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{}$ electronic states. From the differential hyperfine-structure anomaly we have deduced the standard hyperfine-structure anomaly for the two $J$ states. We have also calculated the nuclear moments from the measured hyperfine-structure separations. Our results are, for ${}_{}{}^{67}{}_{}{}^{}\mathrm{Ga}$ ($I=\frac{3}{2}$): $\Delta \nu \left({}_{}{}^2{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{}\right)=2457.727\mathrm{}26\left(90\right)\mathrm{}$ MHz, $a\left({}_{}{}^2{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}\right)=175.097\mathrm{}36\left(15\right)\mathrm{}$ MHz, $b\left({}_{}{}^2{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}\right)=71.957\mathrm{}50\left(55\right)\mathrm{}$ MHz, ${}_{}{}^{67}{}_{}{}^{}\delta _{}^{69}{}_{}{}^{}=2.51\mathrm{}\left(13\right)\mathrm{}\times {10}^{-5\mathrm{}}$, ${}_{}{}^{67}{}_{}{}^{}\Delta _{}^{69}{}_{}{}^{}\left({}_{}{}^2{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{}\right)=5.0\mathrm{}\left(1.4\right)\mathrm{}\times {10}^{-6\mathrm{}}$, ${}_{}{}^{67}{}_{}{}^{}\Delta _{}^{69}{}_{}{}^{}\left({}_{}{}^2{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}\right)=-20.1\mathrm{}\left(2.0\right)\mathrm{}\times {10}^{-6\mathrm{}}$, ${\mu }_I\left(\mathrm{uncorr}\right)=+1.8454\mathrm{}\left(3\right)\mathrm{}{\mu }_N$, and $Q=+0.22\mathrm{}$ b; and for ${}_{}{}^{72}{}_{}{}^{}\mathrm{Ga}\mathrm{}(I=3\mathrm{})\mathrm{}$: $\Delta \nu \left({}_{}{}^2{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{}\right)=-153.652\mathrm{}66\left(53\right)\mathrm{}$ MHz, $a\left({}_{}{}^2{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}\right)=-6.256\mathrm{}98\left(11\right)\mathrm{}$ MHz, $b\left({}_{}{}^2{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}\right)=193.673\mathrm{}65\left(80\right)\mathrm{}$ MHz, ${}_{}{}^{71}{}_{}{}^{}\delta _{}^{72}{}_{}{}^{}=2.12\mathrm{}\left(18\right)\mathrm{}\times {10}^{-4\mathrm{}}$, ${}_{}{}^{71}{}_{}{}^{}\Delta _{}^{72}{}_{}{}^{}\left({}_{}{}^2{}_{}{}^{}P_{\frac{1}{2}}^{}{}_{}{}^{}\right)=4.2\mathrm{}\left(1.2\right)\mathrm{}\times {10}^{-5\mathrm{}}$, ${}_{}{}^{71}{}_{}{}^{}\Delta _{}^{72}{}_{}{}^{}\left({}_{}{}^2{}_{}{}^{}P_{\frac{3}{2}}^{}{}_{}{}^{}\right)=-17.0\mathrm{}\left(2.0\right)\mathrm{}\times {10}^{-5\mathrm{}}$, ${\mu }_I\left(\mathrm{uncorr}\right)=-0.131\mathrm{}86\left(2\right)\mathrm{}{\mu }_N$, $Q=+0.59\mathrm{}$ b. The quoted values of the nuclear magnetic moments include a correction for the hyperfine-structure anomaly, but do not include the diamagnetic correction.